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I'm looking for books where the theory (basic properties, adjoints etc.) of unbounded linear operators between locally convex spaces or at least Banach spaces is developed. In Brezis' functional analysis, Sobolev spaces and partial differential equations there are some limited results for the Banach space case and all other related books I found only treat such operators on Hilbert spaces.

Thanks in advance!

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    $\begingroup$ The second volume of Köthe’s “Topological vector spaces” has about 50 pages on non-continuous linear mappings between locally convex spaces ($$ 35-38). $\endgroup$
    – user131781
    Commented Feb 18, 2020 at 5:15
  • $\begingroup$ @user131781 thank you for this reference! $\endgroup$
    – F. Carbon
    Commented Feb 18, 2020 at 20:32

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You can try to use: Goldberg, Seymour Unbounded linear operators. Theory and applications. Reprint of the 1985 corrected edition [MR0810617]. Dover Publications, Inc., Mineola, NY, 2006. viii+199 pp. ISBN: 0-486-45331-6

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